8245760 has 40 divisors (see below), whose sum is σ = 19776636. Its totient is φ = 3297280.

The previous prime is 8245759. The next prime is 8245777. The reversal of 8245760 is 675428.

It can be written as a sum of positive squares in 2 ways, for example, as 8202496 + 43264 = 2864^2 + 208^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 950 + ... + 4170.

Almost surely, 2^8245760 is an apocalyptic number.

8245760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9888318).

8245760 is an abundant number, since it is smaller than the sum of its proper divisors (11530876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8245760 is an equidigital number, since it uses as much as digits as its factorization.

8245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 8245760 is about 2871.5431391501. The cubic root of 8245760 is about 202.0273792251.

The spelling of 8245760 in words is "eight million, two hundred forty-five thousand, seven hundred sixty".